Constraints common to apparent motion in visual, tactile, and auditory space.

A point-like stimulus was presented in a clockwise or counterclockwise sequence at 3, 4, 6, or 12 uniformly spaced locations around a circle in visual, tactile, or auditory space. In 4 experiments, the stimulators were (a) light-emitting diodes in the frontal plane, (b) mechanical stimulators on the palm, (c) airpuff nozzles around the head, and (d) loudspeakers around the head. For each spatial separation and stimulus-onset asynchrony (SOA) between successive stimuli around the circle, participants reported the direction of motion. Within each modality, the SOA required for 75% accurate discrimination of direction increased with the spatial separations. A time-distance constraint akin to Korte's third law of visual apparent motion can thus be obtained from responses that are objectively classifiable as correct or incorrect (without relying on subjective reports of "goodness" of apparent motion). Moreover, this time-distance constraint evidently generalizes across sensory modalities.